1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Luden [163]
2 years ago
8

I can't seem to figure out number 13, with the star. I just don't know! Help is very appreciated ☺️

Mathematics
1 answer:
katrin2010 [14]2 years ago
5 0
Given:
Scale of the map 1 1/4cm : 8 yards
Rectangular Park:  width : 2 1/2 cm ; length : 6 1/4 cm
Circular Pond: pi = 3.14 ; diameter 1 1/4 cm

Convert mixed factions into fractions.
Scale 1 1/4 = (4*1+1)/4 = 5/4
Width: 2 1/2 = (2*2+1)/2 = 5/2
Length: 6 1/4 = (4*6+1)/4 = 25/4
Diameter: 1 1/4 = (4*1+1)/4 = 5/4

width / scale * 8 yds = width in yards
5/2 ÷ 5/4 = 5/2 * 4/5 = 20/10 = 2 * 8 yds = 16 yds
length / scale * 8 yds = length in yards
25/4 ÷ 5/4 = 25/4 * 4/5 = 100/20 = 5 * 8 yds = 40 yds

Area of a rectangular park = l * w = 40 yds * 16 yds = 640 yds² 
 
diameter / scale * 8 yds = diameter in yards
5/4 ÷ 5/4 = 5/4 * 4/5 = 20/20 = 1 * 8 yds = 8 yds.

radius = d/2 = 8/2 = 4
Area of a circular pond = πr² = 3.14 * 4² = 3.14 * 16yds² = 50.24 yds²

You might be interested in
Your local school board wants to determine the proportion of people who plan on voting for the school levy in the upcoming elect
monitta

Answer:

The p-value for the one-sided Hypothesis test described in this example is 0.3121.

Step-by-step explanation:

Test the hypothesis that more than 50% of people plan on voting for the levy.

At the null hypothesis, we test that the proportion is 50%, that is:

H_0: p = 0.5

At the alternate hypothesis, we test if this proportion is above 50%, that is:

H_a: p > 0.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that \mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5

Of these 150 respondents, 78 people say they plan on voting for the levy.

This means that n = 150, X = \frac{78}{150} = 0.52

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.52 - 0.5}{\frac{0.5}{\sqrt{150}}}

z = 0.49

Pvalue of the test:

The pvalue of the test is the probability of finding a proportion above 0.52, which is 1 subtracted by the pvalue of z = 0.49.

Looking at the z-table, z = 0.49 has a pvalue of 0.6879.

1 - 0.6879 = 0.3121

The p-value for the one-sided Hypothesis test described in this example is 0.3121.

5 0
3 years ago
2w + y = 6<br> a. Find y if w = -4<br> b. Find y if w = 10
krok68 [10]
A. Y would be 14 since 2w would equal -8, and -8+14=6.
B. Y would be -14 because 2w would equal 20 and 20+(-14)=6
4 0
2 years ago
Read 2 more answers
Dan has a wrench which can open to accommodate three different sizes of washers, 5/16 inch, 3/8 inch, and 2/5 inch. Which washer
bezimeni [28]
5/16 = 25/80
3/8 = 30/80
2/5 = 32/80

Because 25/80<30/80<32/80, the washer with the size of 5/16 inch is the smallest~
8 0
2 years ago
Distribute to create an equivalent expression with the fewest symbols possible.<br>4(x - 2 + y) =
kifflom [539]

Answer:

4x-8+4y

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Plz help me this is due today
Ivenika [448]

Answer:

okayy ,um whats the question? I can't see .

Step-by-step explanation:

the pic is black

5 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the following system by the substitution method.<br>1/4x+2/3y=-17/4<br>3x-y=3
    14·1 answer
  • chest volume is 8100 cubic inches the length is 30 inches and the width is 15 inches how tall will the chest be
    13·1 answer
  • Over the course of a year, a company goes from 115115 employees to 124124 employees. Use the drop-down menus to build an equatio
    11·1 answer
  • Which equation represents a line that is parallel to y= -4x+3 and passes through the point (-3,2)?
    15·1 answer
  • What is the surface area of this square pyramid?
    8·1 answer
  • the perimeter of a geometric figure is the sum of its sides. if the perimeter of the following pentagon is 42 meters, find the l
    13·2 answers
  • What is ur favorite anime mine is attack on titan
    12·2 answers
  • Which amount is greater, 20 mm or 1 cm?
    14·1 answer
  • Help please if you can....
    12·1 answer
  • On Monday Eric planted a 3 centimeters tomato plant and 5 centimeters high tomato plant in his garden the graph models the growt
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!